{"raw_statement":[{"iden":"problem statement","content":"Takahashi has decided to hold fastest-finger-fast quiz games. Kizahashi, who is in charge of making the scoreboard, is struggling to write the program that manages the players' scores in a game, which proceeds as follows.\nA game is played by $N$ players, numbered $1$ to $N$. At the beginning of a game, each player has $K$ points.\nWhen a player correctly answers a question, each of the other $N-1$ players receives minus one ($-1$) point. There is no other factor that affects the players' scores.\nAt the end of a game, the players with $0$ points or lower are eliminated, and the remaining players survive.\nIn the last game, the players gave a total of $Q$ correct answers, the $i$\\-th of which was given by Player $A_i$. For Kizahashi, write a program that determines whether each of the $N$ players survived this game."},{"iden":"constraints","content":"*   All values in input are integers.\n*   $2 \\leq N \\leq 10^5$\n*   $1 \\leq K \\leq 10^9$\n*   $1 \\leq Q \\leq 10^5$\n*   $1 \\leq A_i \\leq N\\ (1 \\leq i \\leq Q)$"},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$N$ $K$ $Q$\n$A_1$\n$A_2$\n$.$\n$.$\n$.$\n$A_Q$"},{"iden":"sample input 1","content":"6 3 4\n3\n1\n3\n2"},{"iden":"sample output 1","content":"No\nNo\nYes\nNo\nNo\nNo\n\nIn the beginning, the players' scores are $(3, 3, 3, 3, 3, 3)$.\n\n*   Player $3$ correctly answers a question. The players' scores are now $(2, 2, 3, 2, 2, 2)$.\n*   Player $1$ correctly answers a question. The players' scores are now $(2, 1, 2, 1, 1, 1)$.\n*   Player $3$ correctly answers a question. The players' scores are now $(1, 0, 2, 0, 0, 0)$.\n*   Player $2$ correctly answers a question. The players' scores are now $(0, 0, 1, -1, -1, -1)$.\n\nPlayers $1, 2, 4, 5$ and $6$, who have $0$ points or lower, are eliminated, and Player $3$ survives this game."},{"iden":"sample input 2","content":"6 5 4\n3\n1\n3\n2"},{"iden":"sample output 2","content":"Yes\nYes\nYes\nYes\nYes\nYes"},{"iden":"sample input 3","content":"10 13 15\n3\n1\n4\n1\n5\n9\n2\n6\n5\n3\n5\n8\n9\n7\n9"},{"iden":"sample output 3","content":"No\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}